A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of the central angles has a measure of 40 degrees How many sides does the polygon have?

The central angles of a regular polygon divide the full 360° around the center into equal parts. Divide 360° by 40° per angle: 360 ÷ 40 = 9. The polygon has 9 sides, so the correct choice is 9.

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